rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Designing learning environments for developing understanding of geometry and space
  name:
    name part: Lehrer, Richard.
  name:
    name part: Chazan, Daniel.
  name:
    name part: Ebook Library
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1998
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xiii, 504 pages) : illustrations.
  abstract: This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies. Rather than looking to high school geometry as the locus--and all too often, the apex--of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks.
  table of contents: Part I Why Teach Geometry?; 1 A Role for Geometry in General Education; 2 From a Different Perspective: Building on Students' Informal Knowledge; 3 Charting a Course for Secondary Geometry; 4 Chaos in the Classroom; Part II Studies of Conceptual Development; 5 Interpreting Student Understanding in Geometry: A Synthesis of Two Models; 6 Longitudinal Study of Children's Reasoning About Space and Geometry; 7 Developing Understanding of Geometry and Space in the Primary Grades.
  table of contents: 8 Development of Geometric and Measurement Ideas; 9 Students' Understanding of Three-Dimensional Cube Arrays: Findings from a Research and Curriculum Development Project; 10 Sixth-Grade Students' Conceptions of Stability in Engineering Contexts; 11 Interconnecting Science and Mathematics Concepts; 12 Geometric Curve-Drawing Devices as an Alternative Approach to Analytic Geometry: An Analysis of the Methods, Voice, and Epistemology of a High-School Senior; 13 Conjecturing and Argumentation in High-School Geometry Students.
  table of contents: Part III Defining A New Semantics of Space: Computers, Software, and the Electronic World; 14 What Is Dynamic Geometry?; 15 An Alternative Approach to Proof in Dynamic Geometry; 16 Opportunities to Explore and Integrate Mathematics with the Geometer's Sketchpad; 17 Mapping the Classroom Using a CAD Program: Geometry as Applied Mathematics; 18 An Introduction to Geometry Through Anchored Instruction; 19 Teachers and Students Investigating and Communicating About Geometry: The Math Forum; EPILOGUE: Organization and Freedom in Geometry Learning and Teaching; Author Index; Subject Index.
  note: edited by Richard Lehrer, Daniel Chazan.
  note: Electronic resource.
  note: Includes bibliographical references index.
  subject:
    topic: Geometry
    topic: Study and teaching
  subject:
    topic: Geometry
    topic: Study and teaching
  subject:
    topic: MATHEMATICS
    topic: Geometry
    topic: General
  subject:
    topic: Geometry
    topic: Study and teaching
  classification: QA461 .D47 1998eb
  classification: 516.0071
  related item:
    title info:
      title: Designing Learning Environments for Developing Understanding of Geometry and Space
    name:
      name part: Lehrer, Richard.
    origin info:
      publisher: Hoboken : Taylor and Francis, ©2012
  related item:
    title info:
      title: Studies in mathematical thinking and learning
  identifier: 9781136490514 (electronic bk.)
  identifier: 1136490515 (electronic bk.)
  identifier: https://ebookcentral.proquest.com/lib/tamucs/detail.action
  record info:
    record content source: EBLCP
    record creation date: 140923
    record change date: 20250816224319.6
    record identifier: in00003485951
    language of cataloging:
      language term: eng